#include "stdafx.h"

/*  -- translated by f2c (version 19940927).
   You must link the resulting object file with the libraries:
	-lf2c -lm   (in that order)
*/

#include "hnum_f2c.h"

namespace harlinn
{
    namespace numerics
    {
        namespace SuperLU
        {
                /* Subroutine */ 
                int chemv_(char *uplo, integer *n, complex *alpha, complex *
	                a, integer *lda, complex *x, integer *incx, complex *beta, complex *y,
	                 integer *incy)
                {


                    /* System generated locals */
                    integer a_dim1, a_offset, i__1, i__2, i__3, i__4, i__5;
                    doublereal d__1;
                    complex q__1, q__2, q__3, q__4;

                    /* Builtin functions */
                    void r_cnjg(complex *, complex *);

                    /* Local variables */
                    static integer info;
                    static complex temp1, temp2;
                    static integer i, j;
                    static integer ix, iy, jx, jy, kx, ky;


                /*  Purpose   
                    =======   

                    CHEMV  performs the matrix-vector  operation   

                       y := alpha*A*x + beta*y,   

                    where alpha and beta are scalars, x and y are n element vectors and   
                    A is an n by n hermitian matrix.   

                    Parameters   
                    ==========   

                    UPLO   - CHARACTER*1.   
                             On entry, UPLO specifies whether the upper or lower   
                             triangular part of the array A is to be referenced as   
                             follows:   

                                UPLO = 'U' or 'u'   Only the upper triangular part of A   
                                                    is to be referenced.   

                                UPLO = 'L' or 'l'   Only the lower triangular part of A   
                                                    is to be referenced.   

                             Unchanged on exit.   

                    N      - INTEGER.   
                             On entry, N specifies the order of the matrix A.   
                             N must be at least zero.   
                             Unchanged on exit.   

                    ALPHA  - COMPLEX         .   
                             On entry, ALPHA specifies the scalar alpha.   
                             Unchanged on exit.   

                    A      - COMPLEX          array of DIMENSION ( LDA, n ).   
                             Before entry with  UPLO = 'U' or 'u', the leading n by n   
                             upper triangular part of the array A must contain the upper 
  
                             triangular part of the hermitian matrix and the strictly   
                             lower triangular part of A is not referenced.   
                             Before entry with UPLO = 'L' or 'l', the leading n by n   
                             lower triangular part of the array A must contain the lower 
  
                             triangular part of the hermitian matrix and the strictly   
                             upper triangular part of A is not referenced.   
                             Note that the imaginary parts of the diagonal elements need 
  
                             not be set and are assumed to be zero.   
                             Unchanged on exit.   

                    LDA    - INTEGER.   
                             On entry, LDA specifies the first dimension of A as declared 
  
                             in the calling (sub) program. LDA must be at least   
                             max( 1, n ).   
                             Unchanged on exit.   

                    X      - COMPLEX          array of dimension at least   
                             ( 1 + ( n - 1 )*abs( INCX ) ).   
                             Before entry, the incremented array X must contain the n   
                             element vector x.   
                             Unchanged on exit.   

                    INCX   - INTEGER.   
                             On entry, INCX specifies the increment for the elements of   
                             X. INCX must not be zero.   
                             Unchanged on exit.   

                    BETA   - COMPLEX         .   
                             On entry, BETA specifies the scalar beta. When BETA is   
                             supplied as zero then Y need not be set on input.   
                             Unchanged on exit.   

                    Y      - COMPLEX          array of dimension at least   
                             ( 1 + ( n - 1 )*abs( INCY ) ).   
                             Before entry, the incremented array Y must contain the n   
                             element vector y. On exit, Y is overwritten by the updated   
                             vector y.   

                    INCY   - INTEGER.   
                             On entry, INCY specifies the increment for the elements of   
                             Y. INCY must not be zero.   
                             Unchanged on exit.   


                    Level 2 Blas routine.   

                    -- Written on 22-October-1986.   
                       Jack Dongarra, Argonne National Lab.   
                       Jeremy Du Croz, Nag Central Office.   
                       Sven Hammarling, Nag Central Office.   
                       Richard Hanson, Sandia National Labs.   



                       Test the input parameters.   

    
                   Parameter adjustments   
                       Function Body */
                #define X(I) x[(I)-1]
                #define Y(I) y[(I)-1]

                #define A(I,J) a[(I)-1 + ((J)-1)* ( *lda)]

                    info = 0;
                    if (! lsame_(uplo, "U") && ! lsame_(uplo, "L")) {
	                info = 1;
                    } else if (*n < 0) {
	                info = 2;
                    } else if (*lda < max(1,*n)) {
	                info = 5;
                    } else if (*incx == 0) {
	                info = 7;
                    } else if (*incy == 0) {
	                info = 10;
                    }
                    if (info != 0) {
	                xerbla_("CHEMV ", &info);
	                return 0;
                    }

                /*     Quick return if possible. */

                    if (*n == 0 || alpha->r == 0.f && alpha->i == 0.f && (beta->r == 1.f && 
	                    beta->i == 0.f)) {
	                return 0;
                    }

                /*     Set up the start points in  X  and  Y. */

                    if (*incx > 0) {
	                kx = 1;
                    } else {
	                kx = 1 - (*n - 1) * *incx;
                    }
                    if (*incy > 0) {
	                ky = 1;
                    } else {
	                ky = 1 - (*n - 1) * *incy;
                    }

                /*     Start the operations. In this version the elements of A are   
                       accessed sequentially with one pass through the triangular part   
                       of A.   

                       First form  y := beta*y. */

                    if (beta->r != 1.f || beta->i != 0.f) {
	                if (*incy == 1) {
	                    if (beta->r == 0.f && beta->i == 0.f) {
		                i__1 = *n;
		                for (i = 1; i <= *n; ++i) {
		                    i__2 = i;
		                    Y(i).r = 0.f, Y(i).i = 0.f;
                /* L10: */
		                }
	                    } else {
		                i__1 = *n;
		                for (i = 1; i <= *n; ++i) {
		                    i__2 = i;
		                    i__3 = i;
		                    q__1.r = beta->r * Y(i).r - beta->i * Y(i).i, 
			                    q__1.i = beta->r * Y(i).i + beta->i * Y(i)
			                    .r;
		                    Y(i).r = q__1.r, Y(i).i = q__1.i;
                /* L20: */
		                }
	                    }
	                } else {
	                    iy = ky;
	                    if (beta->r == 0.f && beta->i == 0.f) {
		                i__1 = *n;
		                for (i = 1; i <= *n; ++i) {
		                    i__2 = iy;
		                    Y(iy).r = 0.f, Y(iy).i = 0.f;
		                    iy += *incy;
                /* L30: */
		                }
	                    } else {
		                i__1 = *n;
		                for (i = 1; i <= *n; ++i) {
		                    i__2 = iy;
		                    i__3 = iy;
		                    q__1.r = beta->r * Y(iy).r - beta->i * Y(iy).i, 
			                    q__1.i = beta->r * Y(iy).i + beta->i * Y(iy)
			                    .r;
		                    Y(iy).r = q__1.r, Y(iy).i = q__1.i;
		                    iy += *incy;
                /* L40: */
		                }
	                    }
	                }
                    }
                    if (alpha->r == 0.f && alpha->i == 0.f) {
	                return 0;
                    }
                    if (lsame_(uplo, "U")) {

                /*        Form  y  when A is stored in upper triangle. */

	                if (*incx == 1 && *incy == 1) {
	                    i__1 = *n;
	                    for (j = 1; j <= *n; ++j) {
		                i__2 = j;
		                q__1.r = alpha->r * X(j).r - alpha->i * X(j).i, q__1.i =
			                 alpha->r * X(j).i + alpha->i * X(j).r;
		                temp1.r = q__1.r, temp1.i = q__1.i;
		                temp2.r = 0.f, temp2.i = 0.f;
		                i__2 = j - 1;
		                for (i = 1; i <= j-1; ++i) {
		                    i__3 = i;
		                    i__4 = i;
		                    i__5 = i + j * a_dim1;
		                    q__2.r = temp1.r * A(i,j).r - temp1.i * A(i,j).i, 
			                    q__2.i = temp1.r * A(i,j).i + temp1.i * A(i,j)
			                    .r;
		                    q__1.r = Y(i).r + q__2.r, q__1.i = Y(i).i + q__2.i;
		                    Y(i).r = q__1.r, Y(i).i = q__1.i;
		                    r_cnjg(&q__3, &A(i,j));
		                    i__3 = i;
		                    q__2.r = q__3.r * X(i).r - q__3.i * X(i).i, q__2.i =
			                     q__3.r * X(i).i + q__3.i * X(i).r;
		                    q__1.r = temp2.r + q__2.r, q__1.i = temp2.i + q__2.i;
		                    temp2.r = q__1.r, temp2.i = q__1.i;
                /* L50: */
		                }
		                i__2 = j;
		                i__3 = j;
		                i__4 = j + j * a_dim1;
		                d__1 = A(j,j).r;
		                q__3.r = d__1 * temp1.r, q__3.i = d__1 * temp1.i;
		                q__2.r = Y(j).r + q__3.r, q__2.i = Y(j).i + q__3.i;
		                q__4.r = alpha->r * temp2.r - alpha->i * temp2.i, q__4.i = 
			                alpha->r * temp2.i + alpha->i * temp2.r;
		                q__1.r = q__2.r + q__4.r, q__1.i = q__2.i + q__4.i;
		                Y(j).r = q__1.r, Y(j).i = q__1.i;
                /* L60: */
	                    }
	                } else {
	                    jx = kx;
	                    jy = ky;
	                    i__1 = *n;
	                    for (j = 1; j <= *n; ++j) {
		                i__2 = jx;
		                q__1.r = alpha->r * X(jx).r - alpha->i * X(jx).i, q__1.i =
			                 alpha->r * X(jx).i + alpha->i * X(jx).r;
		                temp1.r = q__1.r, temp1.i = q__1.i;
		                temp2.r = 0.f, temp2.i = 0.f;
		                ix = kx;
		                iy = ky;
		                i__2 = j - 1;
		                for (i = 1; i <= j-1; ++i) {
		                    i__3 = iy;
		                    i__4 = iy;
		                    i__5 = i + j * a_dim1;
		                    q__2.r = temp1.r * A(i,j).r - temp1.i * A(i,j).i, 
			                    q__2.i = temp1.r * A(i,j).i + temp1.i * A(i,j)
			                    .r;
		                    q__1.r = Y(iy).r + q__2.r, q__1.i = Y(iy).i + q__2.i;
		                    Y(iy).r = q__1.r, Y(iy).i = q__1.i;
		                    r_cnjg(&q__3, &A(i,j));
		                    i__3 = ix;
		                    q__2.r = q__3.r * X(ix).r - q__3.i * X(ix).i, q__2.i =
			                     q__3.r * X(ix).i + q__3.i * X(ix).r;
		                    q__1.r = temp2.r + q__2.r, q__1.i = temp2.i + q__2.i;
		                    temp2.r = q__1.r, temp2.i = q__1.i;
		                    ix += *incx;
		                    iy += *incy;
                /* L70: */
		                }
		                i__2 = jy;
		                i__3 = jy;
		                i__4 = j + j * a_dim1;
		                d__1 = A(j,j).r;
		                q__3.r = d__1 * temp1.r, q__3.i = d__1 * temp1.i;
		                q__2.r = Y(jy).r + q__3.r, q__2.i = Y(jy).i + q__3.i;
		                q__4.r = alpha->r * temp2.r - alpha->i * temp2.i, q__4.i = 
			                alpha->r * temp2.i + alpha->i * temp2.r;
		                q__1.r = q__2.r + q__4.r, q__1.i = q__2.i + q__4.i;
		                Y(jy).r = q__1.r, Y(jy).i = q__1.i;
		                jx += *incx;
		                jy += *incy;
                /* L80: */
	                    }
	                }
                    } else {

                /*        Form  y  when A is stored in lower triangle. */

	                if (*incx == 1 && *incy == 1) {
	                    i__1 = *n;
	                    for (j = 1; j <= *n; ++j) {
		                i__2 = j;
		                q__1.r = alpha->r * X(j).r - alpha->i * X(j).i, q__1.i =
			                 alpha->r * X(j).i + alpha->i * X(j).r;
		                temp1.r = q__1.r, temp1.i = q__1.i;
		                temp2.r = 0.f, temp2.i = 0.f;
		                i__2 = j;
		                i__3 = j;
		                i__4 = j + j * a_dim1;
		                d__1 = A(j,j).r;
		                q__2.r = d__1 * temp1.r, q__2.i = d__1 * temp1.i;
		                q__1.r = Y(j).r + q__2.r, q__1.i = Y(j).i + q__2.i;
		                Y(j).r = q__1.r, Y(j).i = q__1.i;
		                i__2 = *n;
		                for (i = j + 1; i <= *n; ++i) {
		                    i__3 = i;
		                    i__4 = i;
		                    i__5 = i + j * a_dim1;
		                    q__2.r = temp1.r * A(i,j).r - temp1.i * A(i,j).i, 
			                    q__2.i = temp1.r * A(i,j).i + temp1.i * A(i,j)
			                    .r;
		                    q__1.r = Y(i).r + q__2.r, q__1.i = Y(i).i + q__2.i;
		                    Y(i).r = q__1.r, Y(i).i = q__1.i;
		                    r_cnjg(&q__3, &A(i,j));
		                    i__3 = i;
		                    q__2.r = q__3.r * X(i).r - q__3.i * X(i).i, q__2.i =
			                     q__3.r * X(i).i + q__3.i * X(i).r;
		                    q__1.r = temp2.r + q__2.r, q__1.i = temp2.i + q__2.i;
		                    temp2.r = q__1.r, temp2.i = q__1.i;
                /* L90: */
		                }
		                i__2 = j;
		                i__3 = j;
		                q__2.r = alpha->r * temp2.r - alpha->i * temp2.i, q__2.i = 
			                alpha->r * temp2.i + alpha->i * temp2.r;
		                q__1.r = Y(j).r + q__2.r, q__1.i = Y(j).i + q__2.i;
		                Y(j).r = q__1.r, Y(j).i = q__1.i;
                /* L100: */
	                    }
	                } else {
	                    jx = kx;
	                    jy = ky;
	                    i__1 = *n;
	                    for (j = 1; j <= *n; ++j) {
		                i__2 = jx;
		                q__1.r = alpha->r * X(jx).r - alpha->i * X(jx).i, q__1.i =
			                 alpha->r * X(jx).i + alpha->i * X(jx).r;
		                temp1.r = q__1.r, temp1.i = q__1.i;
		                temp2.r = 0.f, temp2.i = 0.f;
		                i__2 = jy;
		                i__3 = jy;
		                i__4 = j + j * a_dim1;
		                d__1 = A(j,j).r;
		                q__2.r = d__1 * temp1.r, q__2.i = d__1 * temp1.i;
		                q__1.r = Y(jy).r + q__2.r, q__1.i = Y(jy).i + q__2.i;
		                Y(jy).r = q__1.r, Y(jy).i = q__1.i;
		                ix = jx;
		                iy = jy;
		                i__2 = *n;
		                for (i = j + 1; i <= *n; ++i) {
		                    ix += *incx;
		                    iy += *incy;
		                    i__3 = iy;
		                    i__4 = iy;
		                    i__5 = i + j * a_dim1;
		                    q__2.r = temp1.r * A(i,j).r - temp1.i * A(i,j).i, 
			                    q__2.i = temp1.r * A(i,j).i + temp1.i * A(i,j)
			                    .r;
		                    q__1.r = Y(iy).r + q__2.r, q__1.i = Y(iy).i + q__2.i;
		                    Y(iy).r = q__1.r, Y(iy).i = q__1.i;
		                    r_cnjg(&q__3, &A(i,j));
		                    i__3 = ix;
		                    q__2.r = q__3.r * X(ix).r - q__3.i * X(ix).i, q__2.i =
			                     q__3.r * X(ix).i + q__3.i * X(ix).r;
		                    q__1.r = temp2.r + q__2.r, q__1.i = temp2.i + q__2.i;
		                    temp2.r = q__1.r, temp2.i = q__1.i;
                /* L110: */
		                }
		                i__2 = jy;
		                i__3 = jy;
		                q__2.r = alpha->r * temp2.r - alpha->i * temp2.i, q__2.i = 
			                alpha->r * temp2.i + alpha->i * temp2.r;
		                q__1.r = Y(jy).r + q__2.r, q__1.i = Y(jy).i + q__2.i;
		                Y(jy).r = q__1.r, Y(jy).i = q__1.i;
		                jx += *incx;
		                jy += *incy;
                /* L120: */
	                    }
	                }
                    }

                    return 0;

                /*     End of CHEMV . */

                } /* chemv_ */
        };
    };
};